Answer:
3(4x+6)=24
Step-by-step explanation:
The distribute property is when you distribute the what is inside of the parentheses.
Answer:
an example would be -5(x+9)=-5
now distribute -5 to x and -5 to9
= -5x-45= -5
Question Number 14 of 20 - Geometry The equation of line kis y = = 1 -X – 2. The equation of line m is -2x + 6y = 18. Lines k and m are - 3 F perpendicular G intersecting but not perpendicular H parallel I the same line
Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.
The condition for two parallel lines.In Geometry, two lines are considered to be parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
For two perpendicular lines, we have:
m₁m₂ = -1.
From line k, we have this equation:
y = 1/3x - 2
From line m, we have this equation:
-2x + 6y = 18.
6y = 18 + 2x
y = 18/6 + 2/6x
y = 1/3x + 3.
Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.
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There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?
Answer: 97/125
Step-by-step explanation:
Cara brought $34.50 to the art supply store. she bought a brush, a sketchbook, and a paint set. the brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. cara had $2.00 left over after buying these items.
Using a system of equations, it is found that the cost of a paint set is of $19.50.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: cost of a paint set.Variable y: cost of a sketchbook.Variable z: cost of a brush.Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:
x + y + z = 32.50.
The sketchbook cost half the cost of the paint set, hence:
y = 0.5x.
The brush cost one third of the sketchbook, hence:
z = 0.3333(0.5x) = 0.1667x.
Then, to solve for x:
x + y + z = 32.50
x + 0.5x + 0.1667x = 32.50
x = 32.50/1.6667
x = 19.50.
The cost of a paint set is of $19.50.
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PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
0.25π
Step-by-step explanation:
→ Expand the bracket
4 × cos²Ф = 2
→ Divide both sides by 2
cos²Ф = 0.5
→ Square root both sides
cos Ф = [tex]\frac{\sqrt{2} }{2}[/tex]
→ Inverse cosine [tex]\frac{\sqrt{2} }{2}[/tex]
cos⁻¹ ( [tex]\frac{\sqrt{2} }{2}[/tex] ) = 0.25π
Answer:
Answer:
0.25π
Step-by-step explanation:
→ Expand the bracket
4 × cos²Ф = 2
→ Divide both sides by 2
cos²Ф = 0.5
→ Square root both sides
cos Ф =
→ Inverse cosine
cos⁻¹ ( ) = 0.25π
Step-by-step explanation:
The volume of this rectangular prism is 51,615 cubic yards. What is the value of v? (will mark brainliest)
Answer:
v = 37 yards
Step-by-step explanation:
Volume of a rectangular prism = width × length × height
Given:
volume = 51,615 yd³width = vlength = 93 ydheight = 15 ydSubstituting the given values into the formula and solving for v:
⇒ 51615 = v × 93 × 15
⇒ 51615 = 1395 v
⇒ v = 51615 ÷ 1395
⇒ v = 37
Answer:
v = 37 yds
Step-by-step explanation:
Volume of a rectangular prism: length × width × height
V = L×W×H
v = 51,615 yd³l = 93 ydsw = v ydsh = 15 ydsSubstitute the values above and solve for v:
51,615 = 93 × v × 15
51,615 = 1395v
51,615/1395 = 1395v/1395
37 = v
Final answer: 37 yds
Hope this helps!
PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST
Answer:
For the circle with the diameter of 7cm, the area is about 38.48cm and the circumference is about 22cm
For the circle with the diameter of 5cm, the area is about 19.63cm and the circumference is about 15.7cm
Step-by-step explanation:
The formula to find the area of a circle is pi*r^2
The formula to find the circumference is 2*pi*r
r = radius, which can be determined simply by taking the diameter, and dividing it by 2.
Answer:
See below ~
Step-by-step explanation:
Circle 1 :
Area = πr² = 22/7 x (7/2)² = 11 x 7/2 = 77/2 = 37.5 cm²Circumference = 2πr = 2 x 22/7 x 7/2 = 2 x 11 = 22 cmCircle 2 :
Area = πr² = 22/7 x (5/2)² = 22/7 x 25/4 = 550/28 = 19.64 cm²Circumference = 2πr = 2 x 22/7 x 5/2 = 220/14 = 15.71 cmYolanda says she can use a sphere to model the surface area of the boulders on this beach. explain whether yolanda is correct. yolanda is . since the boulders have , the best shape to model the surface area is a .
Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.
What is a sphere?
A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.
Surface area of a sphere = 4πr²
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Answer:
Step-by-step explanation:
Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.
What is a sphere?
A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.
Surface area of a sphere = 4πr²
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Find the area of a circle with a radius of 9. Leave the answer in terms of π.
Answer:
A = 81π units²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = π × 9² = 81π units²
solve 3y= x+1 and 2y= x
Answer:
(2, 1 )
Step-by-step explanation:
3y = x + 1 → (1)
2y = x → (2)
substitute 2y = x into (1)
3y = 2y + 1 ( subtract 2y from both sides )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (2)
2(1) = x
2 = x
solution is (2, 1 )
Answer:
{y,x} = {-1,-2}
Step-by-step explanation:
2y = - 2
[2] y = - 1
// Plug this in for variable y in equation [1]
[1] 3•(-1) - x = -1
[1] - x = 2
// Solve equation [1] for the variable x
[1] x = - 2
// By now we know this much :
y = -1
x = -2
{y,x} = {-1,-2}
hope this helps
pls mark brainliest
Determine each segment length in right triangle ABC
The length of BC= 7√2 and BD = 7.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
AD= 7, AC= 14
In Δ BDC
cos 45 = B/ H
1/√2 = 7/ BC
BC= 7√2
In Δ BDC
sin 45 = P/H
1/√2= BD / 7√2
BD = 7
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Helppp!
The net of a solid figure is shown below:
Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 3 inches
Which calculation will give the total surface area of the solid figure?
3 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 ⋅ 3 square inches
3 ⋅ 6 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 square inches
Answer:
It's the the 4th one. 6.3.3
James is given the diagram below and asked to prove that ZD ZF. What
would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD
Answer:
C, ∠DEO ≅ ∠FEO
Step-by-step explanation:
The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.
This means the angle is divided into 2 equal angles.
⇒ ∠DEO ≅ ∠FEO
Match each cone to its corresponding volume imaged attached down below.
Answer:
Left side Right side
1 3
2 2
3 1
Step-by-step explanation:
left side on the picture right side on the picture
Use the diagrams to determine which statements are true. Select all statements that are true.
Answer:
I don't see your questions.
Egypt. Africa. America
A straight line whose equation is 3y-2x=-2 meets the x-axis at R determine the coordinates of R
Answer:
3y-2x=-2
The straight line meets the X-axis when y = 0
Hence, 3(0) - 2(x) = -2
2x = 2
x = 1
Therefore, the coordinates of R is (1,0)
Compared to if she had bought no items on sale, by what percent was jan’s total grocery bill discounted? round to two decimal places. a. 15.85% b. 16.50% c. 16.65% d. 17.50%
The total percentage by which Jan's groceries were discounted is 16.65% approximately. (Option C). See the attached and the explanation below.
How was the total percentage discount arrived at?Step 1 - Reverse engineer, the figures to get the original prices first.
You can do this by dividing the discounted prices by the result that you get when you remove the decimal version of the discounted percentage from number one. For Chicken that would be 8.47/(1-0.85) = $9.96 (Original price.)Step 2 - Sum up all the discounted prices as well as the Original prices then find the difference.
This comes to 22.47 - 18.72 = $3.75Step 3 - Divide the difference by the original price to get the percentage difference
$3.75/$22.47 = 16.68% (Nearest answer is Option C)
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Type the correct answer in the box. Use numerals instead of words
In circle A. DB has a length 6.47 centimeters. What is m DAB in radians? Round your answer to two decimal places.
2.9 cm B m DAB= radians
I NEED HELP ASAP!
The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.
What is the Length of an Arc?Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.
Given the following:
Length of arc = 6.47 cm
Radius (r) = 2.9 cm
θ = m∠DAB
Plug in the values into the arc length formula:
6.47 = θ × 2.9
6.47/2.9 = θ
θ = 2.23 radians
m∠DAB = 2.23 radians
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Answer:
DAB = 2.23 radians
Hope this helps!
Step-by-step explanation:
Does anybody know how to solve this?
The area of the rectangle in the form of a polynomial is 40(x² + 6x + 5). If the width is 160 ft, then the area of the rectangle is 57,600 square ft.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
If the length and width of the rectangle are (10x + 10) and (4x + 20). Then the area of the rectangle will be
Area = (10x + 10)(4x + 20)
Area = 40x² + 200x + 40x + 200
Area = 40x² + 240x + 200
Area = 40(x² + 6x + 5)
If the width is 160 feet then the value of x will be
4x + 20 = 160
4x = 140
x = 35
Then the area of the rectangle will be
Area = 40(35² + 6 × 35 + 5)
Area = 40(1225 + 210 + 5)
Area = 40 (1440)
Area = 57,600 square ft
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HELP!!!!!!
This is the only thing i dont understand in my math class
Answer:
{1, 2, 3, 4}
Step-by-step explanation:
Concepts
The domain of a function is all the possible x-values for that function. In other words, it's all the x-coordinates listed in the graph.
Application
In this case, we have to list the domain of the given function. To do this, we have to first label the points, and then list their x-coordinates in increasing order.
Solution
Points:
(1, 4)(2, 3)(3, 2)(4, 1)X-Coordinates:
1, 2, 3, 4Domain:
{1, 2, 3, 4}What is the perimeter of the triangle below?
48.0 units
14.7 units
16.7 units
24.0 units
Which of the following is a statistical question?
Select one:
How many of Mrs. Malone's students earned an A for the first nine weeks?
How many students missed question #5 on Mrs. Malone's math test yesterday?
How many of Mrs Malone's students turn in their homework each day?
the answer is b
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Answer:
See below for answers and explanation
Step-by-step explanation:
A statistical question has variability in collecting the data, and doesn't have one definitive answer:
Question 1: How many of Mrs. Malone's students earned an A for the first nine weeks? This is not a statistical question because you can narrow down exactly how many.
Question 2: How many students missed question #5 on Mrs. Malone's math test yesterday? This is not a statistical question because you can easily take all the worksheets done on the math test and find an exact number.
Question 3: How many of Mrs Malone's students turn in their homework each day? This is a statistical question because not every student will consistently turn in their homework each day, so there will be variability while collecting that data.
Hence, Question 3 is a statistical question
Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths
Answer:
A
Step-by-step explanation:
A loaf of bread and 4 scones cost £3.30. If the loaf costs 90 pence how much would one scone cost ? .
Answer:
Step-by-step explanation:
Givens
4 scones
1 loaf of bread
Total cost = 3.30
Equation
Let the loaf of bread = b
Let the scones = s
Cost = b + 4s
Solution
Substitute the givens into the equation
b + 4s = Cost
90 + 4s = 3.30 Subtract 90 from both sides
90-90 + 4s = 3.30-90 Combine
4s = 2.40 Divide by 4
4s/4 = 2.40/4
s = 0.6 of a pound
Answer: 1 scone = 60 pence.
please awnser quickly
Answer:
R' (- 1, 6 )
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
R (- 1, - 6 ) → R' (- 1, 6 )
Answer:
the answer should be (-1, -6) because remember when you are doing these kind of problems of pluging in the points in a coordinate plane remember the quadraunts to help you know everything you need in case of future problems.
So back remember first is x and then y so when we analyze the point the x is -1 and the y is -6 so the point r represnts= (-1,-6)
so hopefully that is the correct answer and have a great day.
remember first is x and then y
Step-by-step explanation:
I will mark brainliest!!!
What is the slope?
A. 3/2
B. 1/2
C. 3/4
D. 2/3
HELP ASAP PLSSSSSSS
Clara surveyed the students at her school to find out if they like pies and/or sandwiches. The results of her survey are shown in the two-way table below:
Like Pies
Do Not Like Pies
Total
Like Sandwiches
25
43
68
Do Not Like Sandwiches
26
6
32
Total
51
49
100
If a student does not like sandwiches, what is the probability that student also does not like pies?
81.3%
26.0%
23.1%
18.8%
Answer:
18.8%
Step-by-step explanation:
For calculating this, focus on one part of the table :
The row where students do not like sandwichesThere are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :
P (does not like pies, do not like sandwiches) = 6/32P = 3/16P = 18.8%Students who don't like sandwiches also don't like pie is the 2 nd box on 2 nd line
Probability
P(E)=6/32P(E)=6/32×100=3/16×100=18.8%Option D
I NEED HELP IN THIS PLSSS
Answer:
1. A
2. i think c not sure
Step-by-step explanation:
Which is the graph of y-3=-2/3(x+6)
Answer:
The first graph.
What is the ratio of lines b : c if A is 77°
Answer:
3rd option
Step-by-step explanation:
the ratio of b : c is the cos77° , that is
cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.
Which is the graph of f(x) = x^2 – 2x + 3?
Answer:
The first graph
Step-by-step explanation:
-2x is the key here, when you add a subtraction sign to the x-axis it goes right.
+2x would be the graph on the bottom because it is translated to the left.
So the first graph on your picture is the answer.
Answer+Step-by-step explanation:
x² – 2x + 3 = (x - 1)² + 2
Then
The vertex of the parabola is the point (1 , 2)
then
The graph number 1 (on top) is the one which represents f